Faman39
The volume of a cube is 144 cubic meters. What is the volume of the square based pyramid with the same side length and height?
16 m3
48 m3
432 m3
1, 296 m3
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Faman39
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@baldymcgee6 can you able to help me ?
baldymcgee6
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What is the formula for the volume of a cube?
Faman39
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ah, 1/2 ?
baldymcgee6
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The volume of a cube is:
V = s^3
Faman39
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last one, right?
Faman39
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No, i think i m wrong
baldymcgee6
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you are wrong.. :)
v = s^3
144 = s^3
s = cbrt(144)
V_pyramid = (area of base)(height)*(1/3)
Faman39
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So you think it is third one ?
baldymcgee6
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nope..
Faman39
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So... i dont really get this one
baldymcgee6
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that's okay.. i will draw it up for you
ghazi
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|dw:1351376778451:dw| does that help fatima? @Faman39
Faman39
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No :(
ghazi
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oops wait|dw:1351376998205:dw|
ghazi
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this is what your question says
Faman39
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cube but i just dont understand how will i find the answer of the question
ghazi
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volume of pyramid = 1/3*breadth*breadth*height
breadth and height are same in this case and is equal to--- since side cube = 144
x^3=144
x=5.24
ghazi
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now you can do it
ghazi
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volume = 0.333*5.24*5.24*52.4 since it's a cube so breadth= height
ghazi
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@Faman39 now?
Faman39
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You divide the 144 with 3, right?
ghazi
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it will be 47.923 = 48
ghazi
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no, i found side of cube by this formula \[(side)^3=144----side=\sqrt[3]{144}\]
ghazi
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and volume of pyramid here, \[V=\frac{ 1 }{ 3 }*side*side*height\] and side=height (given) and 1/3=0.3333
ghazi
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clear? @Faman39
Faman39
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Much more :)
ghazi
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cool :)
Faman39
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Thank you so much @ghazi ! :)
ghazi
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:) YW :)
Faman39
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Thank you everyone coming here for help
baldymcgee6
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@Faman39 you asked for my help and I explained it to you and drew you a picture...
ghazi
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@baldymcgee6 should be thanked :)
Faman39
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Yeah, you helped me too @baldymcgee6 ! :)
Faman39
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Thank you so much @baldymcgee6 ! :)
Faman39
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You all are truly amazing guys :) love you all
ghazi
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mention not :)
Faman39
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thanks again all of you :)